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We give algorithms for geometric graph problems in the modern parallel models inspired by MapReduce. For example, for the Minimum Spanning Tree (MST) problem over a set of points in the two-dimensional space, our algorithm computes a…

数据结构与算法 · 计算机科学 2014-01-07 Alexandr Andoni , Aleksandar Nikolov , Krzysztof Onak , Grigory Yaroslavtsev

We consider sequences of finite weighted random graphs that converge locally to unimodular i.i.d. weighted random trees. When the weights are atomless, we prove that the matchings of maximal weight converge locally to a matching on the…

概率论 · 数学 2025-03-31 Nathanaël Enriquez , Mike Liu , Laurent Ménard , Vianney Perchet

In the weighted bipartite matching problem, the goal is to find a maximum-weight matching in a bipartite graph with nonnegative edge weights. We consider its online version where the first vertex set is known beforehand, but vertices of the…

计算机科学与博弈论 · 计算机科学 2021-03-05 Rebecca Reiffenhäuser

Computing an accurate mean of a set of time series is a critical task in applications like nearest-neighbor classification and clustering of time series. While there are many distance functions for time series, the most popular distance…

数据结构与算法 · 计算机科学 2022-09-29 Jana Holznigenkemper , Christian Komusiewicz , Bernhard Seeger

Deep learning has been successfully applied to the single-image super-resolution (SISR) task with great performance in recent years. However, most convolutional neural network based SR models require heavy computation, which limit their…

计算机视觉与模式识别 · 计算机科学 2019-04-05 Chaofeng Wang , Zheng Li , Jun Shi

In this paper, we consider hybrid beamforming designs for multiuser massive multiple-input multiple-output (MIMO)-orthogonal frequency division multiplexing (OFDM) systems. Aiming at maximizing the weighted spectral efficiency, we propose…

信号处理 · 电气工程与系统科学 2019-07-30 Jingbo Du , Wei Xu , Chunming Zhao , Luc Vandendorpe

Given a source of iid samples of edges of an input graph $G$ with $n$ vertices and $m$ edges, how many samples does one need to compute a constant factor approximation to the maximum matching size in $G$? Moreover, is it possible to obtain…

数据结构与算法 · 计算机科学 2019-07-15 Michael Kapralov , Slobodan Mitrović , Ashkan Norouzi-Fard , Jakab Tardos

Simulated tempering is popular method of allowing MCMC algorithms to move between modes of a multimodal target density {\pi}. One problem with simulated tempering for multimodal targets is that the weights of the various modes change for…

统计计算 · 统计学 2019-02-12 Nicholas G. Tawn , Gareth O. Roberts , Jeffrey S. Rosenthal

Suppose that we are given an arbitrary graph $G=(V, E)$ and know that each edge in $E$ is going to be realized independently with some probability $p$. The goal in the stochastic matching problem is to pick a sparse subgraph $Q$ of $G$ such…

数据结构与算法 · 计算机科学 2020-02-28 Soheil Behnezhad , Mahsa Derakhshan , MohammadTaghi Hajiaghayi

This paper proposes a new class of online policies for scheduling in input-buffered crossbar switches. Our policies are throughput optimal for a large class of arrival processes which satisfy strong-law of large numbers. Given an initial…

网络与互联网体系结构 · 计算机科学 2009-02-09 Gagan Raj Gupta , Sujay Sanghavi , Ness B. Shroff

Finding all maximal $k$-plexes on networks is a fundamental research problem in graph analysis due to many important applications, such as community detection, biological graph analysis, and so on. A $k$-plex is a subgraph in which every…

数据结构与算法 · 计算机科学 2022-05-03 Qiangqiang Dai , Rong-Hua Li , Hongchao Qin , Meihao Liao , Guoren Wang

The increasing demand for larger and higher fidelity simulations has made Adaptive Mesh Refinement (AMR) and unstructured mesh techniques essential to focus compute effort and memory cost on just the areas of interest in the simulation…

图形学 · 计算机科学 2025-01-23 Xuan Huang , Will Usher , Valerio Pascucci

One powerful technique to solve NP-hard optimization problems in practice is branch-and-reduce search---which is branch-and-bound that intermixes branching with reductions to decrease the input size. While this technique is known to be very…

数据结构与算法 · 计算机科学 2018-10-26 Sebastian Lamm , Christian Schulz , Darren Strash , Robert Williger , Huashuo Zhang

The important problem of weighted sum rate maximization (WSRM) in a multicellular environment is intrinsically sensitive to channel estimation errors. In this paper, we study ways to maximize the weighted sum rate in a linearly precoded…

信息论 · 计算机科学 2013-10-21 Muhammad Fainan Hanif , Le-Nam Tran , Antti Tölli , Markku Juntti , Savo Glisic

We consider a fast approximation algorithm for the linear matroid intersection problem. In this problem, we are given two $r \times n$ matrices $M_1$ and $M_2$, and the objective is to find a largest set of columns that are linearly…

数据结构与算法 · 计算机科学 2026-04-14 Tatsuya Terao

The minimum weight matching (MWM) and maximum likelihood decoding (MLD) are two widely used and distinct decoding strategies for quantum error correction. For a given syndrome, the MWM decoder finds the most probable physical error…

量子物理 · 物理学 2025-10-29 Mao Lin

We study the problem of reconstructing a perfect matching $M^*$ hidden in a randomly weighted $n\times n$ bipartite graph. The edge set includes every node pair in $M^*$ and each of the $n(n-1)$ node pairs not in $M^*$ independently with…

统计理论 · 数学 2021-03-18 Jian Ding , Yihong Wu , Jiaming Xu , Dana Yang

The availability of precise and accurate simulation is a limiting factor for interpreting and forecasting data in many fields of science and engineering. Often, one or more distinct simulation software applications are developed, each with…

高能物理 - 实验 · 物理学 2025-02-19 Moritz Wolf , Lars O. Stietz , Patrick L. S. Connor , Peter Schleper , Samuel Bein

A recent breakthrough of Behnezhad and Ghafari [FOCS 2024] and subsequent work of Assadi, Khanna, and Kiss [SODA 2025] gave algorithms for the fully dynamic $(1-\varepsilon)$-approximate maximum matching problem whose runtimes are…

数据结构与算法 · 计算机科学 2025-02-05 Kevin Pratt

Fault-tolerant quantum computing relies on Quantum Error Correction, which encodes logical qubits into data and parity qubits. Error decoding is the process of translating the measured parity bits into types and locations of errors. To…

量子物理 · 物理学 2024-04-05 Narges Alavisamani , Suhas Vittal , Ramin Ayanzadeh , Poulami Das , Moinuddin Qureshi
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